813350480 has 40 divisors (see below), whose sum is σ = 1990572000. Its totient is φ = 308216448.

The previous prime is 813350471. The next prime is 813350491. The reversal of 813350480 is 84053318.

It is a happy number.

813350480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 266030 + ... + 269069.

It is an arithmetic number, because the mean of its divisors is an integer number (49764300).

Almost surely, 2^813350480 is an apocalyptic number.

813350480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

813350480 is an abundant number, since it is smaller than the sum of its proper divisors (1177221520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

813350480 is a wasteful number, since it uses less digits than its factorization.

813350480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535131 (or 535125 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 813350480 is about 28519.3001316652. The cubic root of 813350480 is about 933.4532578328.

The spelling of 813350480 in words is "eight hundred thirteen million, three hundred fifty thousand, four hundred eighty".